Step-by-step explanation:
step 1. (13x + 8) + (2x + 7) = 180 (definition of same side interior angles)
step 2. 15x + 15 = 180 (like terms)
step 3. 15x = 165 (subtract 15 from each side)
step 4. x = 11. (divide both sides by 15)
Answer:2/3 x 15 = 10
1/4 x 5 = 1.25
2 1/2 x 1/7 = 5/14
Step-by-step explanation:
9514 1404 393
Answer:
(5x -8) +96 +(5x +2) +4x +4x = 540
x = 25
Step-by-step explanation:
It usually works to follow directions. The sum of angles is ...
(5x -8) +96 +(5x +2) +4x +4x = 540 . . . . An equation
18x +90 = 540 . . . . . . . . . collect terms
x +5 = 30 . . . . . . . . . divide by 18
x = 25 . . . . . . . . subtract 5
Reflect over x-axis=negate y-values
so
if A (c,d)
A' (c,-d)
We have that
<span>1) What is the measure in degrees of ∠ 1?
</span>∠ 1+110=180----> ∠ 1=180-110---> ∠ 1=70°---> angles 1 and 110 are supplementary angles
<span>2) What is the measure in degrees of ∠ 2?
</span>∠ 2+115=180----> ∠ 2=180-115----> ∠ 2=65°---> angles 2 and 115 are supplementary angles
<span>3) What is the measure in degrees of ∠ 3?
</span>∠ 3=∠ 2----> ∠ 3=65°------> angles 3 and 2 are congruent by corresponding angles
<span>4) What is the measure in degrees of ∠ 4?
</span>∠ 4=115---> ∠ 4=115°----> angles 4 and 115 are congruent by corresponding angles
<span>5) What is the measure in degrees of ∠ 6?
step 1
find the value of angle </span>∠7
<span>we know that
</span>∠1 +∠2 +∠7=180---------> (sum of the internal angles of a triangle
∠7=180-(∠1 +∠2)------> ∠7=180-(70+65)----------> ∠7=45°
∠6=∠7----------> ∠6=45°--------------> <span> angles </span>6<span> and </span>7<span> are opposed by the vertex, so they are congruent.</span><span>
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